Use the mass of the W ^{-} particle to estimate the range of the weak interaction responsible for the neutron beta decay.
Strategy This calculation is much like the one we did in Example 14.1, when we discussed Yukawa’s meson. In that case we knew the nuclear force range, but in this case, the force range is unknown. We use Equation (14.4) to find the force range R_{ W }.
R=\frac{\hbar}{2 m c}=\frac{\hbar c}{2 m c^{2}} (14.4)